Add 45/18 and 16/21
1st number: 2 9/18, 2nd number: 16/21
45/18 + 16/21 is 137/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
45/18 = 45 × 7/18 × 7 = 315/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
16/21 = 16 × 6/21 × 6 = 96/126 - Add the two like fractions:
315/126 + 96/126 = 315 + 96/126 = 411/126 - 411/126 simplified gives 137/42
- So, 45/18 + 16/21 = 137/42
In mixed form: 311/42
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